Write an equation perpendicular to the line y=2/3x+6, and passing through the point (-3,6)

Mathematics

1 answer:

shepuryov [24]3 years ago

7 0

Answer:

y = -3/2x + 1 1/2

Step-by-step explanation:

the slope would be -3/2 because you have to find the reciprocal and switch the sign. To find the y intercept you would plug in the points to the equation.

6 = -3/2(-3) + b

6 = 4.5 + b

1.5 = b

You might be interested in

Find the inverse function of

shtirl [24]

Answer:

$f(x) = 20x - 4 \\ substitute \: y \: for \: f(x) \\ y = 20x - 4 \\ interchange \: x \: and \: y \\ x = 20y - 4 \\ swap \: the \: sides \: of \: the \: equation \\ 20y - 4 = x \\ move \: the \: constant \: to \: the \: right \: hand \\ 20y = x + 4 \\ divide \: both \: sides \: by \: 20 \\ y = \frac{1}{20} x + \frac{1}{5} \\ substitute \: f {}^{ - 1} (x) \: for \: y \\ f {}^{ - 1} (x) = \frac{1}{20} x + \frac{1}{5}$

The domain of the inverse of a relation is the same as the range of the original relation. In other words, the y-values of the relation are the x-values of the inverse.

Thus, domain of f(x): x∈R = range of f¯¹(x)

and range of f(x): x∈R =domain of f¯¹(x)

3 0

2 years ago

Does the (1,2) <br> satisfy the equation Y equals 3X

AlekseyPX

No. When you plug in x and y you get 2=3

8 0

3 years ago

What is 15% of 76, rounded to two decimal places?

galben [10]

Answer: 11.4

Step-by-step explanation:

I did part / whole = % / 100

So x / 76 = 15 / 100

76 x 15 = 1140

1140 ÷ 100 = 11.4

6 0

3 years ago

Read 2 more answers

Which ordered pair is a solution of the equation y equals x minus 3

Rom4ik [11]

Y = x-3

Basically you just need to plug in an x value and solve for y
y = x - 3
y = (4) - 3
y = 1

In this case, the ordered pair of this equation would be (4, 1)

You can do this given any x or y coordinate

Hope this helps

6 0

3 years ago

Which mathematical symbol would best fill in the blank to compare the two real numbers?

Alexandra [31]

Answer: The correct option is (A) < .

Step-by-step explanation: We are given to select the correct mathematical symbol that would best fill in the blank to compare the following two real numbers :

$\sqrt7~~~?~~~\dfrac{14}{5}.$